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Propagations of singularities in a parabolic system with coupling nonlocal sources |
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| Authors: | He Zhang LingHua Kong SiNing Zheng |
| Institution: | (1) Department of Applied Mathematics, Dalian University of Technology, Dalian, 116024, China;(2) School of Science, Dalian Fisheries University, Dalian, 116023, China |
| Abstract: | This paper deals with propagations of singularities in solutions to a parabolic system coupled with nonlocal nonlinear sources. The estimates for the four possible blow-up rates as well as the boundary layer profiles are established. The critical exponent of the system is determined also. This work was supported by the National Natural Science Foundation of China (Grant No. 10771024) |
| Keywords: | nonlocal nonlinear sources parabolic systems critical exponent blow-up rate boundary layer profile propagation of singularity |
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